Revisiting the light cone of the Gödel universe

@article{Dautcourt2005RevisitingTL,
  title={Revisiting the light cone of the G{\"o}del universe},
  author={Georg Dautcourt and M. Abdel-Megied},
  journal={Classical and Quantum Gravity},
  year={2005},
  volume={23},
  pages={1269 - 1288}
}
The structure of a light cone in the Gödel universe is studied. We derive the intrinsic cone metric, calculate the rotation coefficients of the ray congruence forming the cone, determine local differential invariants up to second order, describe the crossover (keel) singularities and give a first discussion of its focal points. Contrary to many rotation coefficients, some inner differential invariants attain simple finite standard values at focal singularities. 
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